Uniform line fillings.

  title={Uniform line fillings.},
  author={Evangelos Marakis and Matthias Christiaan Velsink and Lars J Corbijn van Willenswaard and R. Uppu and Pepijn W. H. Pinkse},
  journal={Physical review. E},
  volume={99 4-1},
  • Evangelos Marakis, Matthias Christiaan Velsink, +2 authors Pepijn W. H. Pinkse
  • Published in Physical review. E 2019
  • Physics, Medicine
  • Deterministic fabrication of random metamaterials requires filling of a space with randomly oriented and randomly positioned chords with an on-average homogenous density and orientation, which is a nontrivial task. We describe a method to generate fillings with such chords, lines that run from edge to edge of the space, in any dimension. We prove that the method leads to random but on-average homogeneous and rotationally invariant fillings of circles, balls, and arbitrary-dimensional hyperballs… CONTINUE READING

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